Research on Transformation Characteristics of Binomial Coefficient Formula and Its Extended Model
نویسندگان
چکیده
منابع مشابه
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Binomial Coefficient Predictors
For a prime p and nonnegative integers n, k, consider the set A (p) n,k = {x ∈ [0, 1, ..., n] : p|| ( n x ) }. Let the expansion of n + 1 in base p be n + 1 = α0p ν + α1p ν−1 + · · · + αν , where 0 ≤ αi ≤ p − 1, i = 0, . . . , ν. Then n is called a binomial coefficient predictor in base p(p-BCP), if |A (p) n,k| = αkp , k = 0, 1, . . . , ν. We give a full description of the p-BCP’s in every base p.
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Physics
سال: 2019
ISSN: 2327-4352,2327-4379
DOI: 10.4236/jamp.2019.711202